Answer:
The length (x) of the block on broadway between Avenues B and C is 101.9 m.
Step-by-step explanation:
Given Avenues A,B, and C are parallel to each other, and are perpendicular to the 7th street. we have to find the length (x) of the block on broadway between Avenues B and C to the nearest tenth.
By theorem, if two or more parallel lines are cut by two transversals lines, then they divide the transversals proportionally i.e
If A || B || C, then
[tex]\frac{\text{distance of broadway from A and B}}{\text{distance of broadway from B and C}}=\frac{\text{distance of 7th street from A and B}}{\text{distance of 7th street from B and C}}[/tex]
⇒ [tex]\frac{214-x}{x}=\frac{110}{100}[/tex]
⇒ [tex]2140-10x=11x[/tex]
⇒ [tex]21x=2140[/tex]
⇒ [tex]x=\frac{2140}{21}=101.9[/tex]
Hence, the length (x) of the block on broadway between Avenues B and C is 101.9 m.
